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Finding the Fourth Proportional to 966.49, 1,450.14 and 694.74

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Solution

The fourth proportional to 966.49, 1,450.14 and 694.74 is: 1,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.49 : 1,450.14 = 694.74 : x
  2. Step 2: Convert to fraction form
    966.49/1,450.14 = 694.74/x
  3. Step 3: Cross multiply
    966.49x = 1,450.14 × 694.74
  4. Step 4: Simplify right side
    966.49x = 1,007,463.01
  5. Step 5: Solve for x
    x = 1,007,463.01/966.49
  6. Step 6: Final answer
    x = 1,042.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.